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Unformatted text preview: STAT 100B Homework 1
Problem 1: Suppose we ﬂip a fair coin 1000 times independently. Let S be the number of heads. (1) What is the probability that 480 ≤ S ≤ 520? (2) What is the probability that S > 530? Problem 2: Suppose among the population of voters, 1/3 of the people support a candidate. If we sample 1000 people from the population, and let S be the number of supporters of this candidate among these 1000 people. Let p = S/n be the sample proportion. ˆ (1) What is the probability that p > .35? ˆ (2) What is the probability that p < .3? ˆ 1 ...
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- Spring '11